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Finding the Fourth Proportional to 5,296.95, 7,295.00 and 5,182.16

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Solution

The fourth proportional to 5,296.95, 7,295.00 and 5,182.16 is: 7,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.95 : 7,295.00 = 5,182.16 : x
  2. Step 2: Convert to fraction form
    5,296.95/7,295.00 = 5,182.16/x
  3. Step 3: Cross multiply
    5,296.95x = 7,295.00 × 5,182.16
  4. Step 4: Simplify right side
    5,296.95x = 37,803,794.81
  5. Step 5: Solve for x
    x = 37,803,794.81/5,296.95
  6. Step 6: Final answer
    x = 7,136.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.