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Finding the Fourth Proportional to 3,646.58, 5,470.40 and 1,670.72

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Solution

The fourth proportional to 3,646.58, 5,470.40 and 1,670.72 is: 2,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.58 : 5,470.40 = 1,670.72 : x
  2. Step 2: Convert to fraction form
    3,646.58/5,470.40 = 1,670.72/x
  3. Step 3: Cross multiply
    3,646.58x = 5,470.40 × 1,670.72
  4. Step 4: Simplify right side
    3,646.58x = 9,139,483.51
  5. Step 5: Solve for x
    x = 9,139,483.51/3,646.58
  6. Step 6: Final answer
    x = 2,506.32

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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.