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Finding the Fourth Proportional to 4,020, 5,547.92 and 2,364.32

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Solution

The fourth proportional to 4,020, 5,547.92 and 2,364.32 is: 3,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020 : 5,547.92 = 2,364.32 : x
  2. Step 2: Convert to fraction form
    4,020/5,547.92 = 2,364.32/x
  3. Step 3: Cross multiply
    4,020x = 5,547.92 × 2,364.32
  4. Step 4: Simplify right side
    4,020x = 13,117,058.21
  5. Step 5: Solve for x
    x = 13,117,058.21/4,020
  6. Step 6: Final answer
    x = 3,262.95

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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.