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Finding the Fourth Proportional to 4,253.59, 5,875.57 and 3,547.74

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Solution

The fourth proportional to 4,253.59, 5,875.57 and 3,547.74 is: 4,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.59 : 5,875.57 = 3,547.74 : x
  2. Step 2: Convert to fraction form
    4,253.59/5,875.57 = 3,547.74/x
  3. Step 3: Cross multiply
    4,253.59x = 5,875.57 × 3,547.74
  4. Step 4: Simplify right side
    4,253.59x = 20,844,994.71
  5. Step 5: Solve for x
    x = 20,844,994.71/4,253.59
  6. Step 6: Final answer
    x = 4,900.57

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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.