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Finding the Fourth Proportional to 3,482.61, 4,803.35 and 2,364.41

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Solution

The fourth proportional to 3,482.61, 4,803.35 and 2,364.41 is: 3,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.61 : 4,803.35 = 2,364.41 : x
  2. Step 2: Convert to fraction form
    3,482.61/4,803.35 = 2,364.41/x
  3. Step 3: Cross multiply
    3,482.61x = 4,803.35 × 2,364.41
  4. Step 4: Simplify right side
    3,482.61x = 11,357,052.93
  5. Step 5: Solve for x
    x = 11,357,052.93/3,482.61
  6. Step 6: Final answer
    x = 3,261.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.