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Finding the Fourth Proportional to 4,710.92, 6,501.06 and 2,557.48

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Solution

The fourth proportional to 4,710.92, 6,501.06 and 2,557.48 is: 3,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.92 : 6,501.06 = 2,557.48 : x
  2. Step 2: Convert to fraction form
    4,710.92/6,501.06 = 2,557.48/x
  3. Step 3: Cross multiply
    4,710.92x = 6,501.06 × 2,557.48
  4. Step 4: Simplify right side
    4,710.92x = 16,626,330.93
  5. Step 5: Solve for x
    x = 16,626,330.93/4,710.92
  6. Step 6: Final answer
    x = 3,529.32

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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.