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Finding the Fourth Proportional to 3,486.64, 4,809.55 and 2,088.58

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Solution

The fourth proportional to 3,486.64, 4,809.55 and 2,088.58 is: 2,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.64 : 4,809.55 = 2,088.58 : x
  2. Step 2: Convert to fraction form
    3,486.64/4,809.55 = 2,088.58/x
  3. Step 3: Cross multiply
    3,486.64x = 4,809.55 × 2,088.58
  4. Step 4: Simplify right side
    3,486.64x = 10,045,095.45
  5. Step 5: Solve for x
    x = 10,045,095.45/3,486.64
  6. Step 6: Final answer
    x = 2,881.03

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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.