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Finding the Fourth Proportional to 4,710.07, 7,061.90 and 1,588.60

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Solution

The fourth proportional to 4,710.07, 7,061.90 and 1,588.60 is: 2,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.07 : 7,061.90 = 1,588.60 : x
  2. Step 2: Convert to fraction form
    4,710.07/7,061.90 = 1,588.60/x
  3. Step 3: Cross multiply
    4,710.07x = 7,061.90 × 1,588.60
  4. Step 4: Simplify right side
    4,710.07x = 11,218,534.34
  5. Step 5: Solve for x
    x = 11,218,534.34/4,710.07
  6. Step 6: Final answer
    x = 2,381.82

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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.