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Finding the Fourth Proportional to 5,590.83, 8,386.22 and 1,430.84

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Solution

The fourth proportional to 5,590.83, 8,386.22 and 1,430.84 is: 2,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.83 : 8,386.22 = 1,430.84 : x
  2. Step 2: Convert to fraction form
    5,590.83/8,386.22 = 1,430.84/x
  3. Step 3: Cross multiply
    5,590.83x = 8,386.22 × 1,430.84
  4. Step 4: Simplify right side
    5,590.83x = 11,999,339.02
  5. Step 5: Solve for x
    x = 11,999,339.02/5,590.83
  6. Step 6: Final answer
    x = 2,146.25

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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.