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Finding the Fourth Proportional to 3,460.71, 4,775.71 and 1,888.82

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Solution

The fourth proportional to 3,460.71, 4,775.71 and 1,888.82 is: 2,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.71 : 4,775.71 = 1,888.82 : x
  2. Step 2: Convert to fraction form
    3,460.71/4,775.71 = 1,888.82/x
  3. Step 3: Cross multiply
    3,460.71x = 4,775.71 × 1,888.82
  4. Step 4: Simplify right side
    3,460.71x = 9,020,445.74
  5. Step 5: Solve for x
    x = 9,020,445.74/3,460.71
  6. Step 6: Final answer
    x = 2,606.53

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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.