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Finding the Fourth Proportional to 3,460.34, 4,775.29 and 1,888.47

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Solution

The fourth proportional to 3,460.34, 4,775.29 and 1,888.47 is: 2,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.34 : 4,775.29 = 1,888.47 : x
  2. Step 2: Convert to fraction form
    3,460.34/4,775.29 = 1,888.47/x
  3. Step 3: Cross multiply
    3,460.34x = 4,775.29 × 1,888.47
  4. Step 4: Simplify right side
    3,460.34x = 9,017,994.27
  5. Step 5: Solve for x
    x = 9,017,994.27/3,460.34
  6. Step 6: Final answer
    x = 2,606.10

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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.