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Finding the Fourth Proportional to 3,710.63, 5,565.87 and 1,113.50

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Solution

The fourth proportional to 3,710.63, 5,565.87 and 1,113.50 is: 1,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.63 : 5,565.87 = 1,113.50 : x
  2. Step 2: Convert to fraction form
    3,710.63/5,565.87 = 1,113.50/x
  3. Step 3: Cross multiply
    3,710.63x = 5,565.87 × 1,113.50
  4. Step 4: Simplify right side
    3,710.63x = 6,197,568.42
  5. Step 5: Solve for x
    x = 6,197,568.42/3,710.63
  6. Step 6: Final answer
    x = 1,670.22

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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.