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Finding the Fourth Proportional to 4,710.56, 6,501.47 and 3,117.24

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Solution

The fourth proportional to 4,710.56, 6,501.47 and 3,117.24 is: 4,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.56 : 6,501.47 = 3,117.24 : x
  2. Step 2: Convert to fraction form
    4,710.56/6,501.47 = 3,117.24/x
  3. Step 3: Cross multiply
    4,710.56x = 6,501.47 × 3,117.24
  4. Step 4: Simplify right side
    4,710.56x = 20,266,626.76
  5. Step 5: Solve for x
    x = 20,266,626.76/4,710.56
  6. Step 6: Final answer
    x = 4,302.39

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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.