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Finding the Fourth Proportional to 3,701.53, 5,106.19 and 2,506.58

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Solution

The fourth proportional to 3,701.53, 5,106.19 and 2,506.58 is: 3,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.53 : 5,106.19 = 2,506.58 : x
  2. Step 2: Convert to fraction form
    3,701.53/5,106.19 = 2,506.58/x
  3. Step 3: Cross multiply
    3,701.53x = 5,106.19 × 2,506.58
  4. Step 4: Simplify right side
    3,701.53x = 12,799,035.67
  5. Step 5: Solve for x
    x = 12,799,035.67/3,701.53
  6. Step 6: Final answer
    x = 3,457.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.