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Finding the Fourth Proportional to 4,152.57, 6,228.80 and 1,686.81

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Solution

The fourth proportional to 4,152.57, 6,228.80 and 1,686.81 is: 2,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.57 : 6,228.80 = 1,686.81 : x
  2. Step 2: Convert to fraction form
    4,152.57/6,228.80 = 1,686.81/x
  3. Step 3: Cross multiply
    4,152.57x = 6,228.80 × 1,686.81
  4. Step 4: Simplify right side
    4,152.57x = 10,506,802.13
  5. Step 5: Solve for x
    x = 10,506,802.13/4,152.57
  6. Step 6: Final answer
    x = 2,530.19

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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.