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Finding the Fourth Proportional to 3,678.32, 5,506.48 and 3,547.08

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Solution

The fourth proportional to 3,678.32, 5,506.48 and 3,547.08 is: 5,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.32 : 5,506.48 = 3,547.08 : x
  2. Step 2: Convert to fraction form
    3,678.32/5,506.48 = 3,547.08/x
  3. Step 3: Cross multiply
    3,678.32x = 5,506.48 × 3,547.08
  4. Step 4: Simplify right side
    3,678.32x = 19,531,925.08
  5. Step 5: Solve for x
    x = 19,531,925.08/3,678.32
  6. Step 6: Final answer
    x = 5,310.01

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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.