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Finding the Fourth Proportional to 5,140.16, 7,710.63 and 4,528.11

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Solution

The fourth proportional to 5,140.16, 7,710.63 and 4,528.11 is: 6,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.16 : 7,710.63 = 4,528.11 : x
  2. Step 2: Convert to fraction form
    5,140.16/7,710.63 = 4,528.11/x
  3. Step 3: Cross multiply
    5,140.16x = 7,710.63 × 4,528.11
  4. Step 4: Simplify right side
    5,140.16x = 34,914,549.37
  5. Step 5: Solve for x
    x = 34,914,549.37/5,140.16
  6. Step 6: Final answer
    x = 6,792.50

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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.