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Finding the Fourth Proportional to 4,715.10, 6,592.50 and 4,715.10

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Solution

The fourth proportional to 4,715.10, 6,592.50 and 4,715.10 is: 6,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.10 : 6,592.50 = 4,715.10 : x
  2. Step 2: Convert to fraction form
    4,715.10/6,592.50 = 4,715.10/x
  3. Step 3: Cross multiply
    4,715.10x = 6,592.50 × 4,715.10
  4. Step 4: Simplify right side
    4,715.10x = 31,084,296.75
  5. Step 5: Solve for x
    x = 31,084,296.75/4,715.10
  6. Step 6: Final answer
    x = 6,592.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.