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Finding the Fourth Proportional to 4,859.68, 6,708.40 and 3,462.08

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Solution

The fourth proportional to 4,859.68, 6,708.40 and 3,462.08 is: 4,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.68 : 6,708.40 = 3,462.08 : x
  2. Step 2: Convert to fraction form
    4,859.68/6,708.40 = 3,462.08/x
  3. Step 3: Cross multiply
    4,859.68x = 6,708.40 × 3,462.08
  4. Step 4: Simplify right side
    4,859.68x = 23,225,017.47
  5. Step 5: Solve for x
    x = 23,225,017.47/4,859.68
  6. Step 6: Final answer
    x = 4,779.12

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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.