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Finding the Fourth Proportional to 5,752.16, 8,628.25 and 2,465

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Solution

The fourth proportional to 5,752.16, 8,628.25 and 2,465 is: 3,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.16 : 8,628.25 = 2,465 : x
  2. Step 2: Convert to fraction form
    5,752.16/8,628.25 = 2,465/x
  3. Step 3: Cross multiply
    5,752.16x = 8,628.25 × 2,465
  4. Step 4: Simplify right side
    5,752.16x = 21,268,636.25
  5. Step 5: Solve for x
    x = 21,268,636.25/5,752.16
  6. Step 6: Final answer
    x = 3,697.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.