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Finding the Fourth Proportional to 4,547.28, 6,809.40 and 2,810.64

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Solution

The fourth proportional to 4,547.28, 6,809.40 and 2,810.64 is: 4,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.28 : 6,809.40 = 2,810.64 : x
  2. Step 2: Convert to fraction form
    4,547.28/6,809.40 = 2,810.64/x
  3. Step 3: Cross multiply
    4,547.28x = 6,809.40 × 2,810.64
  4. Step 4: Simplify right side
    4,547.28x = 19,138,772.02
  5. Step 5: Solve for x
    x = 19,138,772.02/4,547.28
  6. Step 6: Final answer
    x = 4,208.84

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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.