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Finding the Fourth Proportional to 4,547.84, 6,274.32 and 3,151.76

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Solution

The fourth proportional to 4,547.84, 6,274.32 and 3,151.76 is: 4,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.84 : 6,274.32 = 3,151.76 : x
  2. Step 2: Convert to fraction form
    4,547.84/6,274.32 = 3,151.76/x
  3. Step 3: Cross multiply
    4,547.84x = 6,274.32 × 3,151.76
  4. Step 4: Simplify right side
    4,547.84x = 19,775,150.80
  5. Step 5: Solve for x
    x = 19,775,150.80/4,547.84
  6. Step 6: Final answer
    x = 4,348.25

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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.