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Finding the Fourth Proportional to 5,709.71, 7,887.04 and 4,594.95

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Solution

The fourth proportional to 5,709.71, 7,887.04 and 4,594.95 is: 6,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.71 : 7,887.04 = 4,594.95 : x
  2. Step 2: Convert to fraction form
    5,709.71/7,887.04 = 4,594.95/x
  3. Step 3: Cross multiply
    5,709.71x = 7,887.04 × 4,594.95
  4. Step 4: Simplify right side
    5,709.71x = 36,240,554.45
  5. Step 5: Solve for x
    x = 36,240,554.45/5,709.71
  6. Step 6: Final answer
    x = 6,347.18

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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.