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Finding the Fourth Proportional to 4,547.67, 6,276.46 and 4,266.24

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Solution

The fourth proportional to 4,547.67, 6,276.46 and 4,266.24 is: 5,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.67 : 6,276.46 = 4,266.24 : x
  2. Step 2: Convert to fraction form
    4,547.67/6,276.46 = 4,266.24/x
  3. Step 3: Cross multiply
    4,547.67x = 6,276.46 × 4,266.24
  4. Step 4: Simplify right side
    4,547.67x = 26,776,923.46
  5. Step 5: Solve for x
    x = 26,776,923.46/4,547.67
  6. Step 6: Final answer
    x = 5,888.05

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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.