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Finding the Fourth Proportional to 4,013.49, 6,017.93 and 1,547.99

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Solution

The fourth proportional to 4,013.49, 6,017.93 and 1,547.99 is: 2,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.49 : 6,017.93 = 1,547.99 : x
  2. Step 2: Convert to fraction form
    4,013.49/6,017.93 = 1,547.99/x
  3. Step 3: Cross multiply
    4,013.49x = 6,017.93 × 1,547.99
  4. Step 4: Simplify right side
    4,013.49x = 9,315,695.46
  5. Step 5: Solve for x
    x = 9,315,695.46/4,013.49
  6. Step 6: Final answer
    x = 2,321.10

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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.