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Finding the Fourth Proportional to 4,547.16, 6,277 and 2,779.40

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Solution

The fourth proportional to 4,547.16, 6,277 and 2,779.40 is: 3,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.16 : 6,277 = 2,779.40 : x
  2. Step 2: Convert to fraction form
    4,547.16/6,277 = 2,779.40/x
  3. Step 3: Cross multiply
    4,547.16x = 6,277 × 2,779.40
  4. Step 4: Simplify right side
    4,547.16x = 17,446,293.80
  5. Step 5: Solve for x
    x = 17,446,293.80/4,547.16
  6. Step 6: Final answer
    x = 3,836.75

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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.