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Finding the Fourth Proportional to 3,746.70, 5,618.98 and 1,114.10

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Solution

The fourth proportional to 3,746.70, 5,618.98 and 1,114.10 is: 1,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.70 : 5,618.98 = 1,114.10 : x
  2. Step 2: Convert to fraction form
    3,746.70/5,618.98 = 1,114.10/x
  3. Step 3: Cross multiply
    3,746.70x = 5,618.98 × 1,114.10
  4. Step 4: Simplify right side
    3,746.70x = 6,260,074.74
  5. Step 5: Solve for x
    x = 6,260,074.74/3,746.70
  6. Step 6: Final answer
    x = 1,670.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.