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Finding the Fourth Proportional to 4,594.12, 6,890.13 and 1,307.14

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Solution

The fourth proportional to 4,594.12, 6,890.13 and 1,307.14 is: 1,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.12 : 6,890.13 = 1,307.14 : x
  2. Step 2: Convert to fraction form
    4,594.12/6,890.13 = 1,307.14/x
  3. Step 3: Cross multiply
    4,594.12x = 6,890.13 × 1,307.14
  4. Step 4: Simplify right side
    4,594.12x = 9,006,364.53
  5. Step 5: Solve for x
    x = 9,006,364.53/4,594.12
  6. Step 6: Final answer
    x = 1,960.41

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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.