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Finding the Fourth Proportional to 4,326.13, 6,490 and 2,017.63

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Solution

The fourth proportional to 4,326.13, 6,490 and 2,017.63 is: 3,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.13 : 6,490 = 2,017.63 : x
  2. Step 2: Convert to fraction form
    4,326.13/6,490 = 2,017.63/x
  3. Step 3: Cross multiply
    4,326.13x = 6,490 × 2,017.63
  4. Step 4: Simplify right side
    4,326.13x = 13,094,386.25
  5. Step 5: Solve for x
    x = 13,094,386.25/4,326.13
  6. Step 6: Final answer
    x = 3,026.82

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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.