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Finding the Fourth Proportional to 5,763.48, 8,643.70 and 1,603.84

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Solution

The fourth proportional to 5,763.48, 8,643.70 and 1,603.84 is: 2,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.48 : 8,643.70 = 1,603.84 : x
  2. Step 2: Convert to fraction form
    5,763.48/8,643.70 = 1,603.84/x
  3. Step 3: Cross multiply
    5,763.48x = 8,643.70 × 1,603.84
  4. Step 4: Simplify right side
    5,763.48x = 13,863,111.81
  5. Step 5: Solve for x
    x = 13,863,111.81/5,763.48
  6. Step 6: Final answer
    x = 2,405.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.