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Finding the Fourth Proportional to 3,547.13, 5,320.71 and 1,238.63

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Solution

The fourth proportional to 3,547.13, 5,320.71 and 1,238.63 is: 1,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.13 : 5,320.71 = 1,238.63 : x
  2. Step 2: Convert to fraction form
    3,547.13/5,320.71 = 1,238.63/x
  3. Step 3: Cross multiply
    3,547.13x = 5,320.71 × 1,238.63
  4. Step 4: Simplify right side
    3,547.13x = 6,590,364.42
  5. Step 5: Solve for x
    x = 6,590,364.42/3,547.13
  6. Step 6: Final answer
    x = 1,857.95

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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.